On geodesic vector fields in a compact orientableRiemannian space

1961 ◽  
Vol 35 (1) ◽  
pp. 55-64 ◽  
Author(s):  
Kentaro Yano ◽  
Tadashi Nagano
Keyword(s):  
Vector Fields ◽  
Geodesic Vector

scholarly journals A Note on Geodesic Vector Fields

Mathematics ◽  
2020 ◽  
Vol 8 (10) ◽  
pp. 1663
Author(s):  
Sharief Deshmukh ◽  
Josef Mikeš ◽  
Nasser Bin Turki ◽  
Gabriel-Eduard Vîlcu
Keyword(s):  
Vector Fields ◽  
Euclidean Spaces ◽  
Geodesic Vector

The concircularity property of vector fields implies the geodesicity property, while the converse of this statement is not true. The main objective of this note is to find conditions under which the concircularity and geodesicity properties of vector fields are equivalent. Moreover, it is shown that the geodesicity property of vector fields is also useful in characterizing not only spheres, but also Euclidean spaces.

Geodesic vector fields and Eikonal equation on a Riemannian manifold

2019 ◽  
Vol 30 (4) ◽  
pp. 542-552 ◽  
Author(s):  
Sharief Deshmukh ◽  
Viqar Azam Khan
Keyword(s):  
Riemannian Manifold ◽  
Vector Fields ◽  
Eikonal Equation ◽  
Geodesic Vector

scholarly journals Slant Curves in Contact Lorentzian Manifolds with CR Structures

Mathematics ◽  
2020 ◽  
Vol 8 (1) ◽  
pp. 46
Author(s):  
Ji-Eun Lee
Keyword(s):  
Vector Fields ◽  
Lorentzian Manifold ◽  
Space Forms ◽  
Lorentzian Space ◽  
Geodesic Vector ◽  
Magnetic Curve ◽  
Cr Structures ◽  
Necessary And Sufficient ◽  
Jacobi Equations ◽  
Slant Curves

In this paper, we first find the properties of the generalized Tanaka–Webster connection in a contact Lorentzian manifold. Next, we find that a necessary and sufficient condition for the ∇ ^ -geodesic is a magnetic curve (for ∇) along slant curves. Finally, we prove that when c ≤ 0 , there does not exist a non-geodesic slant Frenet curve satisfying the ∇ ^ -Jacobi equations for the ∇ ^ -geodesic vector fields in M. Thus, we construct the explicit parametric equations of pseudo-Hermitian pseudo-helices in Lorentzian space forms M 1 3 ( H ^ ) for H ^ = 2 c > 0 .

scholarly journals Some remarks on Yamabe solitons

2019 ◽  
Vol 13 (06) ◽  
pp. 2050120
Author(s):  
Debabrata Chakraborty ◽  
Shyamal Kumar Hui ◽  
Yadab Chandra Mandal
Keyword(s):  
Riemannian Manifold ◽  
Vector Field ◽  
Lower Bound ◽  
Vector Fields ◽  
Compact Riemannian Manifold ◽  
Geodesic Vector ◽  
Yamabe Solitons ◽  
Yamabe Soliton

The evolution of some geometric quantities on a compact Riemannian manifold [Formula: see text] whose metric is Yamabe soliton is discussed. Using these quantities, lower bound on the soliton constant is obtained. We discuss about commutator of soliton vector fields. Also, the condition of soliton vector field to be a geodesic vector field is obtained.

scholarly journals Geodesic Vector Fields on a Riemannian Manifold

Mathematics ◽  
2020 ◽  
Vol 8 (1) ◽  
pp. 137 ◽  
Author(s):  
Sharief Deshmukh ◽  
Patrik Peska ◽  
Nasser Bin Turki
Keyword(s):  
Riemannian Manifold ◽  
Vector Field ◽  
Vector Fields ◽  
Euclidean Spaces ◽  
Smooth Vector ◽  
Smooth Vector Field ◽  
Geodesic Vector ◽  
Integral Curves

A unit geodesic vector field on a Riemannian manifold is a vector field whose integral curves are geodesics, or in other worlds have zero acceleration. A geodesic vector field on a Riemannian manifold is a smooth vector field with acceleration of each of its integral curves is proportional to velocity. In this paper, we show that the presence of a geodesic vector field on a Riemannian manifold influences its geometry. We find characterizations of n-spheres as well as Euclidean spaces using geodesic vector fields.

Normal Forms and Bifurcation of Planar Vector Fields

1994 ◽  
Author(s):  
Shui-Nee Chow ◽  
Chengzhi Li ◽  
Duo Wang
Keyword(s):  
Vector Fields ◽  
Normal Forms ◽  
Planar Vector Fields ◽  
Planar Vector

MATHEMATICAL MODELS AND ALGORITHMS FOR RECONSTRUCTION OF SINGULAR SUPPORT OF FUNCTIONS AND VECTOR FIELDS BY TOMOGRAPHIC DATA

2015 ◽  
Vol 3 (1) ◽  
pp. 4-44
Author(s):  
E.Yu. Derevtsov ◽  
◽  
S.V. Maltseva ◽  
I.E. Svetov ◽  
◽  
...  
Keyword(s):  
Mathematical Models ◽  
Vector Fields ◽  
Singular Support ◽  
Tomographic Data

Parallel Computation of Complex Antennas around the Coated Object Using Iterative Vector Fields Technique

2014 ◽  
Vol E97.C (7) ◽  
pp. 661-669
Author(s):  
Ying YAN ◽  
Xunwang ZHAO ◽  
Yu ZHANG ◽  
Changhong LIANG ◽  
Zhewang MA
Keyword(s):  
Parallel Computation ◽  
Vector Fields
Sign in / Sign up

Export Citation Format

Share Document